The N-soliton solutions to the Korteweg--deVries (KdV) equation are derived from Wentzel--Kramers--Brilbuin (WKB) theory without using inverse scattering ...
Since the solutions to the con- stant coefficient equations (2.2) are easily found, they can be used to determine the variable coefficients fy in equation (2.1) ...
The N-soliton solutions to the Korteweg–deVries (KdV) equation are derived from. Wentzel–Kramers–Brilbuin (WKB) theory without using inverse scattering ...
The N-soliton solutions to the Korteweg--deVries (KdV) equation are derived from Wentzel--Kramers--Brilbuin (WKB) theory without using inverse scattering theory ...
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ABSTRACT: In this work, we use the Bogning-Djeumen Tchaho-Kofané method to look for all solutions of shape Sechn- of the modified KdV and Born-Infeld Equations.
Aug 24, 2023 · We begin by considering the KdV IVP and applying the scattering transform to derive the scattering data, specifically the reflection ...
Varley, E. and Seymour, B.R. (1998) A Simple Derivation of the N ...
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In this work, we present a large class of exact solutions to A-Equation and reveal the connection to a class of arbitrarily large systems of nonlinear ordinary ...
We sketch here a different derivation of the Korteweg–de Vries equation, applicable to a wider range of problems, including internal waves and waves in ...
Feb 25, 2020 · We present the analytic solution of K-dV equation and then using finite element analysis to predict the soliton behavior in shallow water bodies.
Varley, E.; Seymour, B.R. (1998). A Simple Derivation of the N-Soliton Solutions to the Korteweg - de. Vries Equation. SIAM Journal on Appl. Math. 58, 904- ...